A random sample of 25 baseball players from the 2017 Major League Baseball season was taken and the sample data was used to construct two confidence intervals for the population mean. One interval was (22.0, 42.8). The other interval was (19.9, 44.0).

a. One interval is a 95% interval, and one is a 90% interval. Which is which, and how do you know?

b. If a larger sample size was used, for example, 40 instead of 25, how would this affect the width of the intervals? Explain.